Answer:
The given system as (3,3) as its solution.
Step-by-step explanation:
Here, the given system of the equation is:
4 x + 2 y = 18
................ (1)
2 x + 3 y = 15 ............... (2)
Now, to use the elimination method, w need to eliminate any of the variable.
Eliminate the variable x in the given system.
Multiply equation (2) with -2 we get,
(2 x + 3 y = 15 )(-2) ⇒ -4x - 6y = -30 ....... (3)
Add (1) and (3), we get:
4 x + 2 y -4x - 6y = 18 -30
or, - 4 y = - 12
or, y = 12/4 = 3 ⇒ y = 3
Putting in (1), we get
4x + 2(3) = 18 or, 4x = 18 - 6 = 12
or, x = 3
(x,y) = (3,3)
Hence, the above system as (3,3) as its solution.
The lateral area of a cylinder is given by:
Area=πrl+2πr^2
radius,r=12 mm
length,l=5*12=60mm
therefore the lateral area will be:
Area=π*12*60
Area=2,261.95 mm^2
The area of the bases will be:
A=2*π*12^2=904.78 mm^s
The lateral area will be:
2,261.95+904.78
=3,166.73
=3167 mm^2
There is missing information
stephanie's car would require 3 gallons of gasoline to get to the zoo
Answer:
3 StartRoot 2 EndRoot + 2 StartRoot 5 EndRoot units
Step-by-step explanation:
we know that
The isosceles trapezoid has
:
Two parallel sides not equal in length called its bases (KL and NM)
Two non-parallel sides equal in length (LM and NK)
so
The perimeter is equal to
substitute the values
3 StartRoot 2 EndRoot + 2 StartRoot 5 EndRoot units
324
Because you multiply 9 by 36